International Journal of Management and Fuzzy Systems
Volume 5, Issue 1, March 2019, Pages: 27-32
Received: Mar. 20, 2019;
Accepted: May 6, 2019;
Published: May 30, 2019
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Saeid Jafarzadeh Ghoushchi, Faculty of Industrial Engineering, Urmia University of Technology, Urmia, Iran
Mohammad Khazaeili, Faculty of Industrial Engineering, Urmia University of Technology, Urmia, Iran
Decisions are mainly grounded on information; therefore, the information should have the least ambiguity and uncertainty to make beneficial and reliable decisions. Many concepts such as fuzzy sets theory, Z-Numbers, and D-Numbers, have been proposed. All the previous concepts have some desirable properties while they do not consider the concept of necessity. In this paper, a new concept, named as G-numbers is proposed to reduce the uncertainty of information based on importance and necessity concepts. In a G-numbers, G= (I, N), I is the Importance component and N is the Necessity component on the real-valued uncertain variables. In general, I and N are described as linguistic variables, Examples: an appointment (high, very high); investment in the stock market (high, medium). An ordered pair relates to computations with G-numbers. In this study, the concept of a G-number is introduced, and the arithmetic operations on G-numbers are presented. Finally, a numerical example is used to illustrate the efficiency of the proposed approach. The concept of G-numbers can be used for a wide range of practical issues in various areas, such as inter alia, social, economic, and risk assessment, and decision-making.
Saeid Jafarzadeh Ghoushchi,
G-Numbers: Importance-Necessity Concept in Uncertain Environment, International Journal of Management and Fuzzy Systems.
Vol. 5, No. 1,
2019, pp. 27-32.
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
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